Exact Solution of Super Liouville Model

YANG ZhanYing; ZHAO Liu; ZHEN Yi

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2000, Vol. 24> Issue(2) : 91-97

Exact Solution of Super Liouville Model

Institute of Modern Physics,Northwest University,Xi'an 710069,China

Abstract
HTML
Reference
Related

PDF

Abstract：
Using Leznov-Saveliev algebraic analysis and Drinfeld-Sokolov construction,we obtaine the explicit solutions to the super Liouville system in super covariant form and component form. The explicit solution in component form reduces naturally into the Egnchi-Hanson instanton solution of the usual Liouville equation if all the grassmann odd componenets are set equal to zero.

References

[1]

. Polyakov A M .Phys.Lett.,1980 ,B103:207 2. LIAO H C ,Mansfield P .Nucl.Phys.Lett.,1995,B359:1183. Polyakov A M. Phys.Lett.,1980 ,B103:211 4. Arvis J F .Nucl.Phys.,1983,B212 :151 5. Babelon O .Nucl.Phys.,1985,B258:6806. Bowcock P ,Corrigan E ,Dorey P E Nucl,Phys.,1995,B445:469 7. Schulze J .hep–th/96021778. Leznov A N ,Saveliev M V .Lett.Math .Phys.,1979,3:207;4899. CHAOL ,HOUBoYu .Annals.Phys.,1994 ,230 :1– 2010. CHAO L ,QU C Z .Int .J.Phys.,1997,36 (7) :111–11811. Leznov A N ,Saveliev M V .Lett.Math .Phys .,1982 ,6:505 12. Leznov A N .Phys.Lett.,1978,B79:294 ;Commun .Math .Phys.,1980 ,74 :1537–1542 13. Babelon O .Phys.Lett.,1988,B215:523;Phys.Lett.,1991,B260 :81

[1]	ZHANG Ai-Ping , QIANG Wen-Chao . Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[2]	CAO Li-Ke , KE San-Min , YANG Tao , YUE Rui-Hong . Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions. Chinese Physics C, 2007, 31(1): 30-33.
[3]	WANG Peng , WANG Shun-Jin . Analytic Exact Solution of One-Dimentional Nonautonomous Classical Harmonic Oscillator. Chinese Physics C, 2005, 29(7): 651-656.
[4]	YANG ZhanYing , ZHEN Yi . Construction on the Solution of osp(1｜4)Toda Model. Chinese Physics C, 2000, 24(6): 484-489.
[5]	Shi Kangiie , Li Guangliang , Fan Heng , Hou Boyu . Multi-Parameter Solution to the Reflection Equation of Z_n Belavin Model. Chinese Physics C, 1999, 23(5): 425-435.
[6]	Ma Tao , Ni Zhixiang . Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials. Chinese Physics C, 1999, 23(7): 650-654.
[7]	Chen Changyuan , Liu Youwen . Exact Solutions of Non-spherical Harmonic Oscillator Potential. Chinese Physics C, 1999, 23(9): 865-872.
[8]	Jie Quanlin , Wang Shunjin , Wei Lianfu . Exact Solutions of Non-autonomous Quantum Systems With Semisimple Lie Algebraic Structure. Chinese Physics C, 1998, 22(2): 111-116.
[9]	Hu Zhanning , Hou Boyu . The Integrability Condition of Three-Dimensional Exactly Solvable Model-Baxter-Bazhanov Model in Statistical Mechanics. Chinese Physics C, 1995, 19(2): 123-130.
[10]	Hu Zhanning . Three-Dimensional Exactly Solvable Model With Cubic Lattice. Chinese Physics C, 1994, 18(9): 813-820.
[11]	LEI Yi-An , ZENG Jin-Yan . Accurate Calculation of Superdeformed Bands in Hg and Pb. Chinese Physics C, 1993, 17(7): 636-643.
[12]	Chen YLxin , Gao Hongbo . Integrability of Liouville System on High Genus Riemannian Surface I. Classical Case. Chinese Physics C, 1992, 16(S2): 141-153.
[13]	CHEN Yi-Xin , GAO Hong-Bo . Integrability of Liouville System on High Genus Riemann Surface.Ⅰ. Classical Case. Chinese Physics C, 1992, 16(4): 323-334.
[14]	WANG Zhong-Hua , WU Ke , GUO Han-Ying . The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅰ). Chinese Physics C, 1991, 15(9): 784-796.
[15]	WANG Zhong-Hua , WU Ke , GUO Han-Ying . The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅱ). Chinese Physics C, 1991, 15(10): 881-889.
[16]	ZHENG Bo , GUO Shuo-Hong . AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
[17]	GUO Shuo-Hong , CHEN Hao . EXACT RESULTS FOR THE TOPOLOGICAL CHARGE OF 1+1D LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(6): 844-848.
[18]	HUANG Nian-Ning . ON THE ONE-SOLITON SOLUTIONS OT SUPER-GORDON EGUATION. Chinese Physics C, 1985, 9(3): 382-384.
[19]	YAN Jun-Hu . EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE. Chinese Physics C, 1985, 9(3): 367-370.
[20]	FENG Ren-Fa , ZHUO Yi-Zhong , LI Jun-Qing . ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE. Chinese Physics C, 1984, 8(4): 453-460.

Access

Get Citation

YANG ZhanYing, ZHAO Liu and ZHEN Yi. Exact Solution of Super Liouville Model[J]. Chinese Physics C, 2000, 24(2): 91-97.

YANG ZhanYing, ZHAO Liu and ZHEN Yi. Exact Solution of Super Liouville Model[J]. Chinese Physics C, 2000, 24(2): 91-97. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-12-28
Revised: 1900-01-01

Article Metric

Article Views(2629)
PDF Downloads(636)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Exact Solution of Super Liouville Model

Corresponding author: YANG ZhanYing,

Institute of Modern Physics,Northwest University,Xi'an 710069,China

Received Date: 1998-12-28
Accepted Date: 1900-01-01
Available Online: 2000-02-05

Abstract: Using Leznov-Saveliev algebraic analysis and Drinfeld-Sokolov construction,we obtaine the explicit solutions to the super Liouville system in super covariant form and component form. The explicit solution in component form reduces naturally into the Egnchi-Hanson instanton solution of the usual Liouville equation if all the grassmann odd componenets are set equal to zero.